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44042204400 = 2435236701837
BaseRepresentation
bin101001000001000111…
…101011010011110000
311012200101011210111120
4221001013223103300
51210144301020100
632122133142240
73116256363165
oct510107532360
9135611153446
1044042204400
1117750749037
12865178a980
1341cb65cc9c
1421bb38a06c
15122b7e70a0
hexa411eb4f0

44042204400 has 60 divisors (see below), whose sum is σ = 141081865272. Its totient is φ = 11744587520.

The previous prime is 44042204363. The next prime is 44042204447. The reversal of 44042204400 is 440224044.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×440422044002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18349719 + ... + 18352118.

Almost surely, 244042204400 is an apocalyptic number.

44042204400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44042204400 is an abundant number, since it is smaller than the sum of its proper divisors (97039660872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44042204400 is a wasteful number, since it uses less digits than its factorization.

44042204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36701858 (or 36701847 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 44042204400 its reverse (440224044), we get a palindrome (44482428444).

The spelling of 44042204400 in words is "forty-four billion, forty-two million, two hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 36701837 73403674 110105511 146807348 183509185 220211022 293614696 367018370 440422044 550527555 587229392 734036740 880844088 917545925 1101055110 1468073480 1761688176 1835091850 2202110220 2752637775 2936146960 3670183700 4404220440 5505275550 7340367400 8808440880 11010551100 14680734800 22021102200 44042204400